What is the Greatest Common Factor of 57854 and 57862?

Greatest common factor (GCF) of 57854 and 57862 is 2.

GCF(57854,57862) = 2

We will now calculate the prime factors of 57854 and 57862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57854 and 57862.

How to find the GCF of 57854 and 57862?

We will first find the prime factorization of 57854 and 57862. After we will calculate the factors of 57854 and 57862 and find the biggest common factor number .

Step-1: Prime Factorization of 57854

Prime factors of 57854 are 2, 28927. Prime factorization of 57854 in exponential form is:

57854 = 2¹ × 28927¹

Step-2: Prime Factorization of 57862

Prime factors of 57862 are 2, 7, 4133. Prime factorization of 57862 in exponential form is:

57862 = 2¹ × 7¹ × 4133¹

Step-3: Factors of 57854

List of positive integer factors of 57854 that divides 57854 without a remainder.

1, 2, 28927

Step-4: Factors of 57862

List of positive integer factors of 57862 that divides 57854 without a remainder.

1, 2, 7, 14, 4133, 8266, 28931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57854 and 57862. The biggest common factor number is the GCF number.
So the greatest common factor 57854 and 57862 is 2.

Also check out the Least Common Multiple of 57854 and 57862